Another proof of BEC in the GP-limit

DOI10.1063/5.0039123zbMath1467.82090arXiv2011.09450OpenAlexW3160585008MaRDI QIDQ4991005

Christian Hainzl

Publication date: 2 June 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09450

zbMATH Keywords

Bose-Einstein condensationBose gasGross-Pitaevskii limit

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of gases (82D05) Bosonic systems in quantum theory (81V73)

Related Items (13)

The low energy spectrum of trapped bosons in the Gross–Pitaevskii regime ⋮ Ground state energy of a Bose gas in the Gross–Pitaevskii regime ⋮ Bose–Einstein condensation on hyperbolic spaces ⋮ Bogoliubov theory in the Gross-Pitaevskii limit: a simplified approach ⋮ Bogoliubov theory for trapped bosons in the Gross-Pitaevskii regime ⋮ Bose-Einstein condensation with optimal rate for trapped bosons in the Gross-Pitaevskii regime ⋮ The Bose gas in a box with Neumann boundary conditions ⋮ Bogoliubov excitation spectrum of Bose gases ⋮ Bogoliubov excitation spectrum of trapped Bose gases in the Gross-Pitaevskii regime ⋮ On the emergence of quantum Boltzmann fluctuation dynamics near a Bose-Einstein condensate ⋮ Bogoliubov theory for many-body quantum systems ⋮ On Bose-Einstein condensates in the Thomas-Fermi regime ⋮ Convergence rate towards the fractional Hartree equation with singular potentials in higher Sobolev trace norms

Cites Work

• Ground states of large bosonic systems: the Gross-Pitaevskii limit revisited
• The mathematics of the Bose gas and its condensation.
• Derivation of the Gross-Pitaevskii equation for rotating Bose gases
• The BCS critical temperature for potentials with negative scattering length
• Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
• Bogoliubov theory in the Gross-Pitaevskii limit
• Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime
• A simple 2nd order lower bound to the energy of dilute Bose gases
• Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime
• The energy of dilute Bose gases
• The second-order correction to the ground state energy of the dilute Bose gas
• Gross-Pitaevskii dynamics for Bose-Einstein condensates
• Bose-Einstein condensation beyond the Gross-Pitaevskii regime
• Ground-State Energy of a Hard-Sphere Gas

This page was built for publication: Another proof of BEC in the GP-limit